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- W3166092483 abstract "We generalize the derivation of the Wallis formula for π from a variational computation of the spectrum of the hydrogen atom. We obtain infinite product formulas for certain combinations of gamma functions, which include irrational numbers such as 2 as well as some nested radicals. We also derive Euler’s reflection formula for reciprocals of positive even integers. We show that Bohr’s correspondence principle allows us to derive our product formulas and the reflection formula without the need for the limit definition of the gamma function." @default.
- W3166092483 created "2021-06-22" @default.
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- W3166092483 date "2021-06-01" @default.
- W3166092483 modified "2023-09-27" @default.
- W3166092483 title "Euler’s reflection formula, infinite product formulas, and the correspondence principle of quantum mechanics" @default.
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- W3166092483 doi "https://doi.org/10.1063/5.0030945" @default.
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